Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184z |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-117263697408 = -1 · 29 · 36 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,549,-15714] |
[a1,a2,a3,a4,a6] |
Generators |
[54:414:1] |
Generators of the group modulo torsion |
j |
49027896/314171 |
j-invariant |
L |
3.3314875298412 |
L(r)(E,1)/r! |
Ω |
0.52428314644907 |
Real period |
R |
3.1771835051396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184bf2 82368fd3 4576d4 |
Quadratic twists by: -4 8 -3 |